Finding the Third Proportional to 76,757 and 118,416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,757 : 118,416.50 = 118,416.50 : x
2. Step 2: Convert to fraction form
   76,757/118,416.50 = 118,416.50/x
3. Step 3: Cross multiply
   76,757x = 118,416.50 × 118,416.50
4. Step 4: Simplify right side
   76,757x = 14,022,467,472.25
5. Step 5: Solve for x
   x = 14,022,467,472.25/76,757
6. Step 6: Final answer
   x = 182,686.50